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Hyers-ulam stability of a general quadratic functional equation

, 2003
Hark-Mahn Kim
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Hyers–Ulam–Rassias stability of a linear recurrence

Journal of Mathematical Analysis and Applications, 2005
The author considers a linear recurrence \[ x_{n+1}=a_nx_n+b_n,\qquad n\geq 0,\;x_0\in X \] where $(x_n)$ is a sequence in a Banach space $X$ and $(a_n)$, $(b_n)$ are given sequences of scalars and vectors in $X$, respectively. Then, a stability result is proved: Suppose that $\varepsilon>0$, $| a| >1$ and an arbitrary sequence \((b_n ...
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A discrete logistic model with conditional Hyers–Ulam stability

AIMS Mathematics
This study investigates the conditional Hyers–Ulam stability of a first-order nonlinear $ h $-difference equation, specifically a discrete logistic model. Identifying bounds on both the relative size of the perturbation and the initial population size is
Douglas R. Anderson, Masakazu Onitsuka
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On Hyers-Ulam Stability for Nonlinear Differential Equations of nth Order

International Journal of Analysis and Applications, 2013
This paper considers the stability of nonlinear differential equations of nth order in the sense of Hyers and Ulam. It also considers the Hyers-Ulam stability for superlinear Emden-Fowler differential equation of nth order. Some illustrative examples are
Maher Nazmi Qarawani
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Hyers–Ulam stability and existence criteria for coupled fractional differential equations involving p-Laplacian operator [PDF]